Optimalizace rostlinné stravy s využitím cílového programování

This bachelor's thesis deals with the use of linear and goal programming to build a plant-based diet. The first chapter describes the theory of linear programming and nutritional problem, as well as the theory of multi-criteria decision making and goal programming. The second chapter first describes the functions of vitamins and minerals for human health. There are also summaries of the scientific researches on the health benefits of plant-based diet that prevents against various diseases such as prostate cancer, colorectal cancer, Alzheimer's disease or diabetes. Thesis also deals with studies of the impact of livestock production on the environment. In the third chapter nutritional problem and goal programming is applied to build a plant-based diet. The goal of the first part is to minimize the total weekly cost of plant-based diet, the second goal is to minimize weighted sum of deviations from the desired values of nutrients and costs. All models are solved using LINGO optimization system.